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Simplifying (3x2 + -5x + 7)(2x2 + 4x + -9) = 0 Reorder the terms: (7 + -5x + 3x2)(2x2 + 4x + -9) = 0 Reorder the terms: (7 + -5x + 3x2)(-9 + 4x + 2x2) = 0 Multiply (7 + -5x + 3x2) * (-9 + 4x + 2x2) (7(-9 + 4x + 2x2) + -5x * (-9 + 4x + 2x2) + 3x2 * (-9 + 4x + 2x2)) = 0 ((-9 * 7 + 4x * 7 + 2x2 * 7) + -5x * (-9 + 4x + 2x2) + 3x2 * (-9 + 4x + 2x2)) = 0 ((-63 + 28x + 14x2) + -5x * (-9 + 4x + 2x2) + 3x2 * (-9 + 4x + 2x2)) = 0 (-63 + 28x + 14x2 + (-9 * -5x + 4x * -5x + 2x2 * -5x) + 3x2 * (-9 + 4x + 2x2)) = 0 (-63 + 28x + 14x2 + (45x + -20x2 + -10x3) + 3x2 * (-9 + 4x + 2x2)) = 0 (-63 + 28x + 14x2 + 45x + -20x2 + -10x3 + (-9 * 3x2 + 4x * 3x2 + 2x2 * 3x2)) = 0 (-63 + 28x + 14x2 + 45x + -20x2 + -10x3 + (-27x2 + 12x3 + 6x4)) = 0 Reorder the terms: (-63 + 28x + 45x + 14x2 + -20x2 + -27x2 + -10x3 + 12x3 + 6x4) = 0 Combine like terms: 28x + 45x = 73x (-63 + 73x + 14x2 + -20x2 + -27x2 + -10x3 + 12x3 + 6x4) = 0 Combine like terms: 14x2 + -20x2 = -6x2 (-63 + 73x + -6x2 + -27x2 + -10x3 + 12x3 + 6x4) = 0 Combine like terms: -6x2 + -27x2 = -33x2 (-63 + 73x + -33x2 + -10x3 + 12x3 + 6x4) = 0 Combine like terms: -10x3 + 12x3 = 2x3 (-63 + 73x + -33x2 + 2x3 + 6x4) = 0 Solving -63 + 73x + -33x2 + 2x3 + 6x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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